144424304640 has 1216 divisors, whose sum is σ = 652296913920. Its totient is φ = 29444014080.

The previous prime is 144424304621. The next prime is 144424304641. The reversal of 144424304640 is 46403424441.

144424304640 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 4 + 3 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144424304595 and 144424304604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144424304641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2724986854 + ... + 2724986906.

Almost surely, 2^144424304640 is an apocalyptic number.

144424304640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144424304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326148456960).

144424304640 is an abundant number, since it is smaller than the sum of its proper divisors (507872609280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144424304640 is an frugal number, since it uses more digits than its factorization.

144424304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 144424304640 in words is "one hundred forty-four billion, four hundred twenty-four million, three hundred four thousand, six hundred forty".